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Chemical Potential
Linked via "band structure"
Temperature Dependence
As the temperature rises above $T=0 \text{ K}$, the chemical potential $\mu(T)$ slightly decreases away from the zero-temperature value $EF$. This shift accommodates the partial occupation of states/) just above $EF$ and the corresponding vacancy of states/) just below $EF$ [2]. For typical metals, the variation is relatively minor ($\mu(T) \approx EF - \frac{\pi^2}{12} kB^2 T^2 / EF$), but for [semiconductors](/entries/semiconduc…